Open AccessDwell‐time computation for stability of switched systems with time delays
Author(s) -
Çalışkan Sina Yamaç,
Özbay Hitay,
Niculescu SilviuIulian
Publication year - 2013
Publication title -
iet control theory and applications
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.059
H-Index - 108
eISSN - 1751-8652
pISSN - 1751-8644
DOI - 10.1049/iet-cta.2011.0749
Subject(s) - dwell time , piecewise , control theory (sociology) , exponential stability , stability (learning theory) , computation , mathematics , lyapunov function , constant (computer programming) , computer science , control (management) , algorithm , nonlinear system , mathematical analysis , physics , clinical psychology , artificial intelligence , machine learning , medicine , quantum mechanics , programming language
The aim of this study is to find an improved dwell time that guarantees the stability of switched systems with heterogeneous constant time‐delays. Piecewise Lyapunov–Krasovkii functionals are used for each candidate system to investigate the stability of the switched time‐delayed system. Under the assumption that each candidate system is stable for small delay values, a sufficient condition for dwell‐time that guarantees the asymptotic stability is derived. Numerical examples are given to compare the results with the previously obtained dwell‐time bounds.